Answer:
0.2592 Ω
Step-by-step explanation:
From Electric Energy,
E = V²t/R.................... Equation 1
Where E = Electric Energy, V = Voltage, R = Resistance, t = time
make R the subject of the equation
R = V²t/E..................... Equation 2
Given: V = 9.0 V, E = 1.5×10⁵ J, t = 8 hours = 8×60 = 480 s
Substitute into equation 2
R = 9²(480)/(1.5×10⁵)
R = 81×480/150000
R = 38880/150000
R = 0.2592 Ω
Hence the resistance of the resistor = 0.2592 Ω